A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, “Self-channeling of high-peak-power femtosecond laser pulses in air,” Opt. Lett. 20 (1), 73–75 (1995). https://doi.org/10.1364/OL.20.000073

Article  ADS  Google Scholar 

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, “Conical emission from self-guided femtosecond pulses in air,” Opt. Lett. 21 (1), 62–64 (1996). https://doi.org/10.1364/OL.21.000062

Article  ADS  Google Scholar 

Self-focusing: Past and Present. Fundamentals and Prospects, Ed. by R.W. Boyd, S.G. Lukishova, and Y.R. Shen (Springer, Berlin, 2009).

Google Scholar 

J.-F. Daigle, O. Kosareva, N. Panov, T.-J. Wang, S. Hosseini, S. Yuan, G. Roy, and S. L. Chin, “Formation and evolution of intense, post-filamentation, ionization-free low diver-gence beams,” Opt. Commun. 284 (14), 3601–3606 (2011). https://doi.org/10.1016/j.optcom.2011.03.077

Article  ADS  Google Scholar 

G. Méchain, A. Couairon, Y.-B. Andre, C. D’Amico, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, and R. Sauerbrey, “Long-range self-channeling of infrared laser pulses in air: A new propagation regime without ionization,” Appl. Phys. B. 79, 379–382 (2004). https://doi.org/10.1007/s00340-004-1557-8

Article  ADS  Google Scholar 

M. Durand, A. Houard, B. Prade, A. Mysyrowicz, A. Durécu, B. Moreau, D. Fleury, O. Vasseur, H. Borchert, K. Diener, R. Schmitt, F. Théberge, M. Chateauneuf, J. Daigle, and J. Dubois, “Kilometer range filamentation,” Opt. Express 21 (22), 26836–26845 (2013). https://doi.org/10.1364/OE.21.026836

Article  ADS  Google Scholar 

D. V. Apeximov, Yu. E. Geints, A. A. Zemlyanov, A. N. Iglakova, A. M. Kabanov, O. I. Kuchinskaya, G. G. Matvienko, O. V. Minina, V. K. Oshlakov, and A. V. Petrov, “Spatial structure of femtosecond laser radiation during filamentation in air,” Atmos. Ocean. Opt. 34 (3), 174–179 (2021). https://doi.org/10.1134/S1024856021030039

Article  Google Scholar 

S. L. Chin, A. Talebpour, J. Yang, S. Petit, V. P. Kandidov, O. G. Kosareva, and M. P. Tamarov, “Filamentation of femtosecond laser pulses in turbulent air,” Appl. Phys. B. 74 (1), 67–76 (2002). https://doi.org/10.1007/s003400100738

Article  ADS  Google Scholar 

S. A. Shlyonov and V. P. Kandidov, “Filament bunch formation upon femtosecond laser pulse propagation through the turbulent atmosphere. Part 1. Method,” Atmos. Ocean. Opt. 17 (8), 565–570 (2004).

Google Scholar 

S. A. Shlyonov and V. P. Kandidov, “Filament bunch formation upon femtosecond laser pulse propagation through the turbulent atmosphere. Part 2. Statistical characteristics,” Atmos. Ocean. Opt. 17 (8), 571–575 (2004).

Google Scholar 

S. A. Shlenov and A. I. Markov, “Control of filamentation of femtosecond laser pulses in a turbulent atmosphere,” Quantum Electron. 39 (7), 658–662 (2009). https://doi.org/10.1070/QE2009v039n07ABEH014116

Article  ADS  Google Scholar 

J. Penano, B. Hafizi, A. Ting, and M. Helle, “Theoretical and numerical investigation of fila-ment onset distance in atmospheric turbulence,” J. Opt. Soc. Am. B. 31 (5), 963–971 (2014). https://doi.org/10.1364/JOSAB.31.000963

Article  ADS  Google Scholar 

R. Ackermann, G. Méjean, J. Kasparian, J. Yu, E. Salmon, and J.-P. Wolf, “Laser filaments generated and transmitted in highly turbulent air,” Opt. Lett. 31 (1), 86–88 (2006). https://doi.org/10.1364/OL.31.000086

Article  ADS  Google Scholar 

D. Eeltink, N. Berti, N. Marchiando, S. Hermelin, J. Gateau, M. Brunetti, J. P. Wolf, and J. Kasparian, “Triggering filamentation using turbulence,” Phys. Rev. A. 94 (3), 033806 (2016). https://doi.org/10.1103/PhysRevA.94.033806

Article  ADS  Google Scholar 

J. Penano, J. P. Palastro, B. Hafizi, M. H. Helle, and G. P. DiComo, “Self-channeling of high-power laser pulses through strong atmospheric turbulence,” Phys. Rev. A. 96 (1), 013829 (2017). https://doi.org/10.1103/PhysRevA.96.013829

Article  ADS  Google Scholar 

D. V. Apeksimov, P. A. Babushkin, A. A. Zemlyanov, A. M. Kabanov, D. I. Kochetov, V. K. Oshlakov, A. V. Petrov, and E. E. Khoroshaeva, “The effect of turbulence on generation of high-intensity light channels during femtosecond laser pulse propagation along a 100-meter air path,” Atmos. Ocean. Opt. 37 (1), 1–6 (2024). https://doi.org/10.1134/S102485602370001X

Article  Google Scholar 

V. A. Petrishchev, “Application of the method of moments to certain problems in the propagation of partially coherent light beams,” Radiophys. Quantum Electron. 14, 1112–1119 (1971). https://doi.org/10.1007/BF01029474

Article  ADS  Google Scholar 

V.I. Tatarskii, Wave Propagation in Turbulent Medium (New York, McGraw-Hill, 1961). https://doi.org/10.1063/1.3057286

L. S. Dolin, “Equations for the correlation functions of a wave beam in a randomly-inhomogeneous medium,” Radiophys. Quantum Electron. 11, 486–491 (1968). https://doi.org/10.1007/BF01033360

Article  ADS  Google Scholar 

Z. I. Feizulin and Y. A. Kravtsov, “Broadening of a laser beam in a turbulent medium,” Radiophys. Quantum Electron. 10, 33–35 (1967). https://doi.org/10.1007/BF01038157

Article  ADS  Google Scholar 

L. B. Stotts, J. R. Penano, J. A, Tellez, J. D. Schmidt, and V. J. Urick, “Engineering equations for the filamentation collapse distance in lossy, turbulent, nonlinear media,” Opt. Express 27 (18), 25126–25141 (2019). https://doi.org/10.1364/OE.27.025126

Article  ADS  Google Scholar 

A. A. Zemlyanov, Yu. E. Geints, and O. V. Minina, “Estimation of the characteristics of the domain of multiple filamentation of femtosecond laser pulses in air based on the single filamentation model,” Atmos. Ocean. Opt. 33 (2), 117–123 (2020). https://doi.org/10.1134/S1024856020020165

Article  Google Scholar